<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon" title="c1">s</font> be   <a href="prelamb.html#NM5" title="PRELAMB:NM.5">SynTypes_Calculus</a>;<br/><b>let </b><font color="Maroon" title="c2">x</font>, <font color="Maroon" title="c3">y</font>, <font color="Maroon" title="c4">z</font> be   <a href="prelamb.html#NM1" title="PRELAMB:NM.1">type</a> of <font color="Maroon" title="c1">s</font>;<br/>







<a NAME="E1:67"/>
( <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Maroon" title="c2">x</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Maroon" title="c2">x</font> &amp; <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Maroon" title="c3">y</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Maroon" title="c3">y</font> &amp; <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Maroon" title="c4">z</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Maroon" title="c4">z</font> )
 
<b>by </b><i><a class="ref" href="prelamb.html#D19" target="_self" title="PRELAMB:def.19">Def19</a></i>;<br/>
<a NAME="E2:67"/><b>then </b>
( <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Maroon" title="c2">x</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Maroon" title="c3">y</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Maroon" title="c2">x</font> <a href="prelamb.html#K3" title="PRELAMB:func.3">*</a> <font color="Maroon" title="c3">y</font> &amp; <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Maroon" title="c4">z</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Maroon" title="c4">z</font> )
 
<b>by </b><i><a class="ref" href="prelamb.html#D19" target="_self" title="PRELAMB:def.19">Def19</a></i>;<br/>
<a NAME="E3:67"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Maroon" title="c2">x</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p2"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c3">y</font> <a href="prelamb.html#K2" title="PRELAMB:func.2">/"</a> <font color="Maroon" title="c4">z</font></span>)</span></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span></span>)</span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Maroon" title="c4">z</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Maroon" title="c2">x</font> <a href="prelamb.html#K3" title="PRELAMB:func.3">*</a> <font color="Maroon" title="c3">y</font>
 
<b>by </b><i><a class="txt" href="prelamb.html#E34"><i><font color="Green" title="E12">Lm6</font></i></a></i>;<br/>
<a NAME="E4:67"/><b>then </b>
<span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="prelamb.html#K3" title="PRELAMB:func.3">*</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">y</font> <a href="prelamb.html#K2" title="PRELAMB:func.2">/"</a> <font color="Maroon" title="c4">z</font></span>)</span></span>)</span></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Maroon" title="c4">z</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <font color="Maroon" title="c2">x</font> <a href="prelamb.html#K3" title="PRELAMB:func.3">*</a> <font color="Maroon" title="c3">y</font>
 
<b>by </b><i><a class="txt" href="prelamb.html#E40"><i><font color="Green" title="E18">Lm12</font></i></a></i>;<br/>
<b>hence </b><a NAME="E5:67"/>
<span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="prelamb.html#K3" title="PRELAMB:func.3">*</a> <span class="p3">(<span class="default"><font color="Maroon" title="c3">y</font> <a href="prelamb.html#K2" title="PRELAMB:func.2">/"</a> <font color="Maroon" title="c4">z</font></span>)</span></span>)</span></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span> <a href="prelamb.html#R2" title="PRELAMB:pred.2">==&gt;.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="prelamb.html#K3" title="PRELAMB:func.3">*</a> <font color="Maroon" title="c3">y</font></span>)</span> <a href="prelamb.html#K2" title="PRELAMB:func.2">/"</a> <font color="Maroon" title="c4">z</font>
 <b>by </b><i><a class="ref" href="prelamb.html#D19" target="_self" title="PRELAMB:def.19">Def19</a></i>;<br/>


</div>
